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Finding the Fourth Proportional to 810.81, 1,216.22 and 233.69

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Solution

The fourth proportional to 810.81, 1,216.22 and 233.69 is: 350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.81 : 1,216.22 = 233.69 : x
  2. Step 2: Convert to fraction form
    810.81/1,216.22 = 233.69/x
  3. Step 3: Cross multiply
    810.81x = 1,216.22 × 233.69
  4. Step 4: Simplify right side
    810.81x = 284,211.20
  5. Step 5: Solve for x
    x = 284,211.20/810.81
  6. Step 6: Final answer
    x = 350.53

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.